Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Fundamentals of Contemporary Mathematical Sciences
Volume:1 Issue:1
Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Authors : Murat YAĞMURLU, Yusuf UÇAR, Alaattin ESEN

Pages : 1-13

View : 89 | Download : 9

Publication Date : 2020-01-31

Article Type : Research Paper

Abstract :The present article focuses on obtaining numerical solutions of time fractional KdV-Burger-Kuramoto equation insert ignore into journalissuearticles values(KBK); with the finite element collocation method. The finite element collocation methods are common and effective tool for solving nonlinear problems because of their reasonable computational costs. The idea underlying the method is seeking the numerical solutions in a form of a linear combination of unknown functions with basis at nodal points by avoid of integration. Thus, in this article, we achieve more accurate numerical results are obtained with the application of the method to KBK equation. Additionally, we show the efficiency and effectiveness of the method using comparisons of numerical results with exact solutions via error norms and their simulations.
Keywords : KdV Burger Kuramoto equation, Collocation Finite Element Method, Quintic B spline

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.